{"id":"vidhyamitra:city-day:mathura:2004-05-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2004-05-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2004-05-03","date_display":"May 3, 2004 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2004,"month":5,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453128.770833,"kali_year":5106,"ahargana":1864663.2708,"sun":{"sidereal_longitude":19.0778,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":174.2787,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.2009,"elapsed_within_tithi_degrees":11.2009},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":174.2787,"elapsed_within_degrees":0.9454},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.3566},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2004,"month":5,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2453128.770833,"ahargana":1864663.2708,"kali_year":5106,"ayanamsa_lahiri":23.9136,"grahas":{"sun":{"sidereal_longitude":19.039299000000028,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":174.27549899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":2.0334},"mars":{"sidereal_longitude":63.25849900000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":357.400299,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":135.141299,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":58.37519900000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":75.004099,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":21.1665,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":201.1665,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2004,"month":5,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2453128.770833,"kali_year":5106,"ahargana":1864663.2708,"sun":{"sidereal_longitude":19.0778,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":174.2787,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":155.2009,"elapsed_within_tithi_degrees":11.2009},"nakshatra":{"number":14,"name":"Citrā","pada":1,"moon_longitude":174.2787,"elapsed_within_degrees":0.9454},"yoga":{"number":15,"name":"Vajra","sum_longitude":193.3566},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.033,"elongation":155.201},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.033,"opposition_distance":24.799}},"eclipse_window_40days":[{"offset_days":2,"type":"lunar","occurs":true,"moon_latitude":-0.097,"opposition_distance":1.287},{"offset_days":16,"type":"solar","occurs":true,"moon_latitude":1.066,"elongation":0.412}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:38","sunsetLocal":"18:54","solarNoonLocal":"12:16","dayLengthHours":13.255025661132322,"dayLengthDisplay":"13 Hours 15 Mins 18 Secs","nightLengthDisplay":"10 Hours 44 Mins 42 Secs","moonriseLocal":"16:49","moonsetLocal":"04:25","rahuKala":{"name":"Rāhu Kāla","start":"07:18","end":"08:57","startHours":7.298542235766693,"endHours":8.955420443408233,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:37","end":"12:16","startHours":10.612298651049773,"endHours":12.269176858691313,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:56","end":"15:35","startHours":13.926055066332854,"endHours":15.582933273974394,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:44","end":"09:11","startHours":8.734503349056027,"endHours":9.176337537760439,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:12","end":"06:33","startHours":6.193956764005666,"endHours":6.5474241149691945,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:43","startHours":11.827342669986903,"endHours":12.711011047395724,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:45","startHours":3.8743272733075096,"endHours":4.757995650716331,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:32","end":"05:38","startHours":4.537078556364126,"endHours":5.641664028125152,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:22","startHours":14.478347802213367,"endHours":15.362016179622188,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.696689689257475,"endHours":19.096689689257474,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:27","startHours":18.896689689257474,"endHours":19.448982425137988,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.646689689257474,"endHours":20.396689689257474,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:43","startHours":23.8273426699869,"endHours":24.711011047395726,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:38","end":"07:18","startHours":5.641664028125152,"endHours":7.298542235766693,"quality":"auspicious"},{"name":"Kāla","start":"07:18","end":"08:57","startHours":7.298542235766693,"endHours":8.955420443408233,"quality":"inauspicious"},{"name":"Śubha","start":"08:57","end":"10:37","startHours":8.955420443408233,"endHours":10.612298651049773,"quality":"auspicious"},{"name":"Roga","start":"10:37","end":"12:16","startHours":10.612298651049773,"endHours":12.269176858691313,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:56","startHours":12.269176858691313,"endHours":13.926055066332854,"quality":"inauspicious"},{"name":"Chala","start":"13:56","end":"15:35","startHours":13.926055066332854,"endHours":15.582933273974394,"quality":"neutral"},{"name":"Labha","start":"15:35","end":"17:14","startHours":15.582933273974394,"endHours":17.239811481615934,"quality":"auspicious"},{"name":"Amṛta","start":"17:14","end":"18:54","startHours":17.239811481615934,"endHours":18.896689689257474,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:54","end":"20:14","startHours":18.896689689257474,"endHours":20.239811481615934,"quality":"neutral"},{"name":"Labha","start":"20:14","end":"21:35","startHours":20.239811481615934,"endHours":21.582933273974394,"quality":"auspicious"},{"name":"Amṛta","start":"21:35","end":"22:56","startHours":21.582933273974394,"endHours":22.926055066332854,"quality":"auspicious"},{"name":"Kāla","start":"22:56","end":"00:16","startHours":22.926055066332854,"endHours":24.269176858691313,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:37","startHours":24.269176858691313,"endHours":25.612298651049773,"quality":"auspicious"},{"name":"Roga","start":"01:37","end":"02:57","startHours":25.612298651049773,"endHours":26.955420443408233,"quality":"inauspicious"},{"name":"Udveg","start":"02:57","end":"04:18","startHours":26.955420443408233,"endHours":28.298542235766693,"quality":"inauspicious"},{"name":"Chala","start":"04:18","end":"05:38","startHours":28.298542235766693,"endHours":29.641664028125152,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:38","end":"06:38","startHours":5.641664028125152,"endHours":6.641664028125152,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:38","end":"07:38","startHours":6.641664028125152,"endHours":7.641664028125152,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:38","end":"08:38","startHours":7.641664028125152,"endHours":8.641664028125152,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:38","end":"09:38","startHours":8.641664028125152,"endHours":9.641664028125152,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:38","end":"10:38","startHours":9.641664028125152,"endHours":10.641664028125152,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:38","end":"11:38","startHours":10.641664028125152,"endHours":11.641664028125152,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:38","end":"12:38","startHours":11.641664028125152,"endHours":12.641664028125152,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:38","end":"13:38","startHours":12.641664028125152,"endHours":13.641664028125152,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:38","end":"14:38","startHours":13.641664028125152,"endHours":14.641664028125152,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:38","end":"15:38","startHours":14.641664028125152,"endHours":15.641664028125152,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:38","end":"16:38","startHours":15.641664028125152,"endHours":16.641664028125152,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:38","end":"17:38","startHours":16.641664028125152,"endHours":17.641664028125152,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:38","end":"18:38","startHours":17.641664028125152,"endHours":18.641664028125152,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:38","end":"19:38","startHours":18.641664028125152,"endHours":19.641664028125152,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:38","end":"20:38","startHours":19.641664028125152,"endHours":20.641664028125152,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:38","end":"21:38","startHours":20.641664028125152,"endHours":21.641664028125152,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:38","end":"22:38","startHours":21.641664028125152,"endHours":22.641664028125152,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:38","end":"23:38","startHours":22.641664028125152,"endHours":23.641664028125152,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:38","end":"00:38","startHours":23.641664028125152,"endHours":24.641664028125152,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:38","end":"01:38","startHours":24.641664028125152,"endHours":25.641664028125152,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:38","end":"02:38","startHours":25.641664028125152,"endHours":26.641664028125152,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:38","end":"03:38","startHours":26.641664028125152,"endHours":27.641664028125152,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:38","end":"04:38","startHours":27.641664028125152,"endHours":28.641664028125152,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:38","end":"05:38","startHours":28.641664028125152,"endHours":29.641664028125152,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":15.724594963757061,"eotMinutes":3.154588478521171,"ayanamsa":23.9136}},"calendars":{"vikram_samvat":2061,"vikram_samvatsara":"Hemalambī","saka_samvat":1926,"saka_samvatsara":"Tāraṇa","bengali_samvat":1411,"malayalam_era":1180,"nanakshahi_year":535,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Trayodaśī · Vikram 2061 Hemalambī · Śaka 1926 Tāraṇa"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 3, 2004 CE · Mathurā · Vidhyamitra","description":"May 3, 2004 CE for Mathurā: Śukla Trayodaśī, sūryodaya 05:38, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2004-05-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2004-05-03","sa":"https://sa.vidhyamitra.com/city/mathura/2004-05-03","hi":"https://hi.vidhyamitra.com/city/mathura/2004-05-03","x-default":"https://vidhyamitra.com/city/mathura/2004-05-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:38:25.667Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-14T16:38:25.667Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:38:25.667Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}